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Finding the Third Proportional to 210,832 and 456,656

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Solution

The third proportional to 210,832 and 456,656 is: 989,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,832 : 456,656 = 456,656 : x
  2. Step 2: Convert to fraction form
    210,832/456,656 = 456,656/x
  3. Step 3: Cross multiply
    210,832x = 456,656 × 456,656
  4. Step 4: Simplify right side
    210,832x = 208,534,702,336
  5. Step 5: Solve for x
    x = 208,534,702,336/210,832
  6. Step 6: Final answer
    x = 989,103.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.